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  • Author or Editor: Á. Elbert x
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The asymptotic stability of the solutions of the differential equation x00 +h(t)x0 +x =0 is investigated under the restrictions that h(t) =2hn≯0 on[tn; tn+n], and h(t) = 0 elsewhere, lim n 1 tn = 1 and tn+1 - tn is not necessarily a multiple of, n 2 N .

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Under some restrictions on the functions r (t)and c (t),a nontrivial solution x (t)of the nonoscillatory half-linear second order diferential equation: is principal if and only if… In case p =2 the criterion (*)reduces to a Hartman result on the principal solutions of the Sturm –Liouville di .erential equations.

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